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Finding the Fourth Proportional to 83,755.97, 125,631.99 and 20,576

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Solution

The fourth proportional to 83,755.97, 125,631.99 and 20,576 is: 30,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,755.97 : 125,631.99 = 20,576 : x
  2. Step 2: Convert to fraction form
    83,755.97/125,631.99 = 20,576/x
  3. Step 3: Cross multiply
    83,755.97x = 125,631.99 × 20,576
  4. Step 4: Simplify right side
    83,755.97x = 2,585,003,826.24
  5. Step 5: Solve for x
    x = 2,585,003,826.24/83,755.97
  6. Step 6: Final answer
    x = 30,863.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.